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Simplifying 9(7b + 4) = 9(1 + 4b) Reorder the terms: 9(4 + 7b) = 9(1 + 4b) (4 * 9 + 7b * 9) = 9(1 + 4b) (36 + 63b) = 9(1 + 4b) 36 + 63b = (1 * 9 + 4b * 9) 36 + 63b = (9 + 36b) Solving 36 + 63b = 9 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. 36 + 63b + -36b = 9 + 36b + -36b Combine like terms: 63b + -36b = 27b 36 + 27b = 9 + 36b + -36b Combine like terms: 36b + -36b = 0 36 + 27b = 9 + 0 36 + 27b = 9 Add '-36' to each side of the equation. 36 + -36 + 27b = 9 + -36 Combine like terms: 36 + -36 = 0 0 + 27b = 9 + -36 27b = 9 + -36 Combine like terms: 9 + -36 = -27 27b = -27 Divide each side by '27'. b = -1 Simplifying b = -1
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